Student Support for Research in Hierarchical Control and Trajectory Planning

By Clyde F Martin

Generally, classical polynomial splines tend to exhibit unwanted undulations. In this work, we discuss a technique, based on control principles, for eliminating these undulations and increasing the smoothness properties of the spline interpolants. We give a generalization of the classical polynomial splines and show that this generalization is, in fact, a family of splines that covers the broad spectrum of polynomial, trigonometric and exponential splines. A particular element in this family is determined by the appropriate control data. It is shown that this technique is easy to implement. Several numerical and curve-fitting examples are given to illustrate the advantages of this technique over the classical approach. Finally, we discuss the convergence properties of the interpolant.

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• Format: Paperback
• Language: English
• ISBN: 1288916051
• ISBN13: 9781288916054
• Release Date: March 2013
• Publisher: Biblioscholar
• Length: 80 Pages
• Weight: 0.35 lbs.
• Dimensions: 0.2" x 7.4" x 9.7"